This is easy. If you would like to keep your zones stats and scores and names, open up your Subgame (with the name changed to your zone's name) and hit SHIFT+F12. It should say Shuting down, or something like that. It will auto-close itself. Once it does, go to your Subill, and hit SHIFT+F12, and it too should say something about shuting down. It too will auto-close. You have just saved your zone's score and stats, while shuting it down.
Step: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.